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40680200 = 2352112412
BaseRepresentation
bin1001101100101…
…1101100001000
32211112202202002
42123023230020
540403231300
64011530132
71002530111
oct233135410
984482662
1040680200
1120a65700
1211759948
138574332
14558d208
1538885d5
hex26cbb08

40680200 has 108 divisors (see below), whose sum is σ = 106558935. Its totient is φ = 14432000.

The previous prime is 40680187. The next prime is 40680251. The reversal of 40680200 is 208604.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 256036 + 40424164 = 506^2 + 6358^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=4510.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 992180 + ... + 992220.

Almost surely, 240680200 is an apocalyptic number.

40680200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40680200

40680200 is an abundant number, since it is smaller than the sum of its proper divisors (65878735).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40680200 is a wasteful number, since it uses less digits than its factorization.

40680200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 40680200 is about 6378.1031663027. The cubic root of 40680200 is about 343.9228464071.

Adding to 40680200 its reverse (208604), we get a palindrome (40888804).

The spelling of 40680200 in words is "forty million, six hundred eighty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 41 44 50 55 82 88 100 110 121 164 200 205 220 242 275 328 410 440 451 484 550 605 820 902 968 1025 1100 1210 1640 1681 1804 2050 2200 2255 2420 3025 3362 3608 4100 4510 4840 4961 6050 6724 8200 8405 9020 9922 11275 12100 13448 16810 18040 18491 19844 22550 24200 24805 33620 36982 39688 42025 45100 49610 67240 73964 84050 90200 92455 99220 124025 147928 168100 184910 198440 203401 248050 336200 369820 406802 462275 496100 739640 813604 924550 992200 1017005 1627208 1849100 2034010 3698200 4068020 5085025 8136040 10170050 20340100 40680200